6. The percentage of alcohol (100X) in a mixture can be considered as a random variablewith p.d.f.f(x) = 20x' (1–x), 0

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Answered: (a) Find P (b) Determine its F (x). (c)…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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find the first term Sn=(15)/(2)ratio (3)/(5).
The management of Thermomaster Company, has estimated that the total weekly cost (in dollars) for producing x thermometers is C(x) = 8000 + 5x dollars per year. Find the average cost function C
The price of a popular gaming console is related to the quantity demanded by the equation 2p² + x² = 41 where p is the price (in hundreds of dollars) and x is the number of consoles demanded (in thousands). Determine how fast the quantity demanded is changing when the price is set at $400 (p = 4), the quantity demanded is 3000 (x = 3), and the price is decreasing at the rate of $2 per week (p' = -0.02). Give your answer as a whole number (remember that the quantity demanded is measured in thousands). Make sure to indicate whether it is increasing or decreasing and include the correct units.
25. One bag contains 7 red chips and 5 yellow chips. Another bag contains 5 red chips and 2 yellow chips. A chip is drawn from each bag. What is the probability that both chips are yellow? A. 59 84 B. 5 12 C. 16 D. 5 42
If f(x) = x + 2x +4. What can you say about the rate of change of f(x) when x = 07
Right now, five hundred fifty pastry chefs have gathered for a tournament in your hometown, and the number is expected to decrease by 15 percent every hour. The organizers want to predict when there will be 50 pastry chefs at the event. Let h(t) = 550(0.85)' represent the number of pastry chefs at the tournament, where t is the number of hours from now. In order to answer the question, let's solve the equation: 50 = 550(0.85)ʻ 1. First, perform one operation to both sides of the equation so that (0.85)' is alone on the right-hand side. Write your resulting equation below. [Do not use your calculator at any point.] Equation: 2. Now, apply the natural logarithm to both sides and simplify the right-hand side by using the property In (m') = bln(m). Write the resulting equation below. [Do not use your calculator at any point.] Equation: 3. Finally, isolate the variable t. Answer: t = hours

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(a) Find P (b) Determine its F (x). (c) The price of the mixture depends on the contents of its alcohol. If the selling price is RM10 per gallon, otherwise it can be sold at RM8 per gallon. If the cost is RM4 per gallon, find the expected net profit for a gallon of the mixture.